Two-loop QED operator matrix elements with massive external fermion lines

Blümlein, J.; Freitas, A. De; Neerven, W. van

doi:10.1016/j.nuclphysb.2011.10.009

Cited by 44 publications

(38 citation statements)

References 125 publications

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“…The result for the constant term appearing in Eq. (11) is [19] Our calculations show explicitly that the operator matrix elements satisfy the relations given in Eqs. (9-11) for the pole terms, which automatically guarantees that the decomposition given in Eqs.…”

Section: Pos(radcor2011)033mentioning

confidence: 64%

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Two-Loop QED Operator Matrix Elements with a Massive External Fermion Line

Freitas¹,

Bluemlein²,

Neerven³

2013

Proceedings of 10th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) —

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We describe the calculation of the two-loop massive operator matrix elements with massive external fermions in QED. We investigate the factorization of the O(α 2 ) initial state corrections to e + e − annihilation into a virtual boson for large cms energies s ≫ m 2 e into massive operator matrix elements and the massless Wilson coefficients of the Drell-Yan process adapting the color coefficients to the case of QED, as proposed by Berends et. al. in Ref. [1]. Our calculations show explicitly that the representation proposed in Ref.[1] works at one-loop order and up to terms linear in ln(s/m 2 e ) at two-loop order. However, the two-loop constant part contains a few structural terms, which have not been obtained in previous direct calculations.

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Section: Pos(radcor2011)033mentioning

confidence: 64%

“…The resulting integrals were checked by several means, including their representation in terms of Mellin-Barnes integrals, cf. [19].…”

Section: Two-loop Massive Fermionic Ome's In Qedmentioning

confidence: 99%

Two-Loop QED Operator Matrix Elements with a Massive External Fermion Line

Freitas¹,

Bluemlein²,

Neerven³

2013

Proceedings of 10th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) —

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“…Here the massive OMEs are computed for on-shell external massless partons. The case of a massive on-shell external fermion line was studied at two loops in [16] in case of QED.…”

Section: Th International Conference On High Energy Physics 4-11 Jumentioning

confidence: 99%

New results on the 3-loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

Freitas

Ablinger

Bluemlein

et al. 2013

Proceedings of 36th International Conference on High Energy Physics — PoS(ICHEP2012)

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We report on recent results obtained for the 3-loop heavy flavor Wilson coefficients in deepinelastic scattering (DIS) at general values of the Mellin variable N at larger scales of Q 2 . These concern contributions to the gluonic ladder-topologies, the transition matrix elements in the variable flavor scheme of O(n f T 2 F ) and O(T 2 F ), and first results on higher 3-loop topologies. The knowledge of the heavy flavor Wilson coefficients at 3-loop order is of importance to extract the parton distribution functions and α s (M 2 Z ) in complete NNLO QCD analyses of the world precision data on the structure function F 2 (x, Q 2 ).

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“…In all the above cases the massive OMEs are calculated for external massless partons which are on-shell. The case of massive on-shell external lines has been treated in [21] recently.…”

Section: Introductionmentioning

confidence: 99%

The contributions to the gluonic massive operator matrix elements

et al. 2013

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The O(α 3 s n f T 2 F C A,F ) terms to the massive gluonic operator matrix elements are calculated for general values of the Mellin variable N . These twist-2 matrix elements occur as transition functions in the variable flavor number scheme at NNLO. The calculation uses sum-representations in generalized hypergeometric series turning into harmonic sums. The analytic continuation to complex values of N is provided.

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Two-loop QED operator matrix elements with massive external fermion lines

Cited by 44 publications

References 125 publications

Two-Loop QED Operator Matrix Elements with a Massive External Fermion Line

Two-Loop QED Operator Matrix Elements with a Massive External Fermion Line

New results on the 3-loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

The contributions to the gluonic massive operator matrix elements

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